Lecture3 - ECO ECO 220Y Lecture3 Describing Data by...

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ECO 220Y Lecture3 Describing Data by Graphical Technique t 2 Part 2 igiwa anaka Migiwa Tanaka Reading : 2.2,2.3,2.4 1
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Outline istogram – terval Data Histogram Interval Data Shape of Histogram l i & l t i Sample size & population Tabulation – Nominal/Ordinal Data 2
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Histogram What can a histogram tell us? at ca a stog a te us? Overall distribution of observations. If they are clustering around a particular bin. If they are spread out. If there are more observations above average or below average. If it resembles known distribution, such as Normal distribution. Where should we pay particular attention when we inspect a histogram? Symmetry Positively/Negatively Skewed Modality Bell-shaped, (Normal) 3
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Symmetry hen a rtical line is drawn in the center of the shape When a vertical line is drawn in the center of the shape and the right side and the left side of the shape is mirror age to each other the shape is said to be symmetric image to each other, the shape is said to be symmetric. 4
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4 8 Perfect Symmetry .3 .4 sity .6 .8 .1 .2 Den s 0 0 .5 1 1.5 2 2.5 1 1 2 3 4 5 2 x1 x2 .5 .25 2 ensity .15 De .05 1 2 3 4 5 x3 2 4 6 8 10 x4 5
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Skewness the shape has long tail on the right but not on the left If the shape has long tail on the right, but not on the left, the shape is
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This note was uploaded on 03/01/2011 for the course ECON 220 taught by Professor Tanaka during the Spring '11 term at University of Toronto.

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Lecture3 - ECO ECO 220Y Lecture3 Describing Data by...

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